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1417727140 = 22588380279
BaseRepresentation
bin101010010000000…
…1100110010100100
310122210201000000121
41110200030302210
510400414232030
6352402451324
750063324164
oct12440146244
93583630017
101417727140
116682a7425
12336963b44
131979474cb
14d64085a4
15846e747a
hex5480cca4

1417727140 has 24 divisors (see below), whose sum is σ = 2980635840. Its totient is φ = 566441568.

The previous prime is 1417727131. The next prime is 1417727149. The reversal of 1417727140 is 417277141.

It is an interprime number because it is at equal distance from previous prime (1417727131) and next prime (1417727149).

It is a junction number, because it is equal to n+sod(n) for n = 1417727096 and 1417727105.

It is not an unprimeable number, because it can be changed into a prime (1417727149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22480 + ... + 57799.

It is an arithmetic number, because the mean of its divisors is an integer number (124193160).

Almost surely, 21417727140 is an apocalyptic number.

1417727140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1417727140 is an abundant number, since it is smaller than the sum of its proper divisors (1562908700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1417727140 is a wasteful number, since it uses less digits than its factorization.

1417727140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81171 (or 81169 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 34.

The square root of 1417727140 is about 37652.7175646061. The cubic root of 1417727140 is about 1123.3908556710.

The spelling of 1417727140 in words is "one billion, four hundred seventeen million, seven hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 883 1766 3532 4415 8830 17660 80279 160558 321116 401395 802790 1605580 70886357 141772714 283545428 354431785 708863570 1417727140